Yukihiro Komura, Yutaka Okabe
We present sample CUDA programs for the GPU computing of the Swendsen-Wang multi-cluster spin flip algorithm. We deal with the classical spin models; the Ising model, the q-state Potts model, and the classical XY model. As for the lattice, both the 2D (square) lattice and the 3D (simple cubic) lattice are treated. We already reported […]
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Miguel Ibanez Berganza, Pietro Coletti, Alberto Petri
Langer theory of metastability provides a description of the lifetime and properties of the metastable phase of the Ising model field-driven transition, describing the magnetic field-driven transition in ferromagnets and the chemical potential-driven transition of fluids. An immediate further step is to apply it to the study of a transition driven by the temperature, as […]
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Ye Fang, Sheng Feng, Ka-Ming Tam, Zhifeng Yun, Juana Moreno, J. Ramanujam, Mark Jarrell
Monte Carlo simulations of the Ising model play an important role in the field of computational statistical physics, and they have revealed many properties of the model over the past few decades. However, the effect of frustration due to random disorder, in particular the possible spin glass phase, remains a crucial but poorly understood problem. […]
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Florian Wende, Thomas Steinke
Simulations of the critical Ising model by means of local update algorithms suffer from critical slowing down. One way to partially compensate for the influence of this phenomenon on the runtime of simulations is using increasingly faster and parallel computer hardware. Another approach is using algorithms that do not suffer from critical slowing down, such […]
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Carlo Lancia, Benedetto Scoppola
We propose a unified approach to reversible and irreversible PCA dynamics, and we show that in the case of 1D and 2D nearest neighbour Ising systems with periodic boundary conditions we are able to compute the stationary measure of the dynamics also when the latter is irreversible. We also show how, according to [DPSS12], the […]
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Yukihiro Komura, Yutaka Okabe
We present the multiple GPU computing with the common unified device architecture (CUDA) for the Swendsen-Wang multi-cluster algorithm of two-dimensional (2D) q-state Potts model. Extending our algorithm for single GPU computing [Comp. Phys. Comm. 183 (2012) 1155], we realize the GPU computation of the Swendsen-Wang multi-cluster algorithm for multiple GPUs. We implement our code on […]
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A. Leist, K.A. Hawick, D.P. Playne
Local and cluster Monte Carlo update algorithms offer a complex tradeoff space for optimising the performance of simulations of the Ising model. We systematically explore tradeoffs between hybrid Metropolis and Wolff cluster updates for the 3D Ising model using data-parallelism and graphical processing units. We investigate performance for both regular lattices as well as for […]
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Yukihiro Komura, Yutaka Okabe
We present the GPU calculation with the common unified device architecture (CUDA) for the Swendsen-Wang multi-cluster algorithm of two-dimensional classical spin systems. We adjust the two connected component labeling algorithms recently proposed with CUDA for the assignment of the cluster in the Swendsen-Wang algorithm. Starting with the q-state Potts model, we extend our implementation to […]
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Xing Lu, Jing Cai, Peidong Cui, Wei Zhang
With the rapid development of the graphics processing unit (GPU), a recent GPU offers incredible resources for general purpose computing. We apply this technology to Monte Carlo simulations of the 2D and 3D lattice Ising models. By implementing the checkerboard algorithm, results are obtained up to 54, 62 and 68 times faster on the GPU […]
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Ken A. Hawick, Mitchell G.B. Johnson
Models such as the Ising and Potts systems lend themselves well to simulating the phase transitions that commonly arise in materials science. A particularly interesting variation is when the material being modelled has lattice defects, dislocations or broken bonds and the material experiences a Griffiths phase. The damaged Potts system consists of a set of […]
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Yukihiro Komura, Yutaka Okabe
We present the GPU calculation with the common unified device architecture (CUDA) for the Wolff single-cluster algorithm of the Ising model. Proposing an algorithm for a quasi-block synchronization, we realize the Wolff single-cluster Monte Carlo simulation with CUDA. We perform parallel computations for the newly added spins in the growing cluster. As a result, the […]
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Martin Weigel
Cluster identification tasks occur in a multitude of contexts in physics and engineering such as, for instance, cluster algorithms for simulating spin models, percolation simulations, segmentation problems in image processing, or network analysis. While it has been shown that graphics processing units (GPUs) can result in speedups of two to three orders of magnitude as […]
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